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Finding the Fourth Proportional to 720.50, 991.50 and 696.74

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Solution

The fourth proportional to 720.50, 991.50 and 696.74 is: 958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.50 : 991.50 = 696.74 : x
  2. Step 2: Convert to fraction form
    720.50/991.50 = 696.74/x
  3. Step 3: Cross multiply
    720.50x = 991.50 × 696.74
  4. Step 4: Simplify right side
    720.50x = 690,817.71
  5. Step 5: Solve for x
    x = 690,817.71/720.50
  6. Step 6: Final answer
    x = 958.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.